Wednesday

May 25, 2016
**calculus very hard help**

integrate:cos^10xdx even with the previous hint a tutor here gave me i still don,t know it
*Tuesday, April 19, 2016 by newton*

**advanced calculus**

Many carnivals have a version of the double Ferris wheel. A large central arm rotates clockwise. At each end of the central arm is a Ferris wheel that rotates clockwise around the arm. Assume that the central arm has length 200 feet and rotates about its center. Also assume ...
*Tuesday, April 19, 2016 by please help me*

**Calculus**

Let 𝑅 be the region bounded by the four straight lines 𝑦=𝑥, 𝑥+𝑦=4, 𝑦=𝑥−2 and 𝑥+ 𝑦 = 2. Find the surface area of the surface obtained by rotating the region 𝑅 about the 𝑥-axis for 1 ...
*Tuesday, April 19, 2016 by Desperate Student*

**Calculus I**

For what values of a and b is the line -4x+y=b tangent to the curve y=ax^3 when x=4? Can anyone give me the hint?
*Tuesday, April 19, 2016 by Anonymous*

**Calculus I**

if f(x)=24, find f'(11)? How can i find it?
*Tuesday, April 19, 2016 by Anonymous*

**Calculus**

Find the arc length of the curve 𝑥(𝑡)=cos𝑡+ү05;sin𝑡, 0≤𝑡≤𝜋/2 𝑦(𝑡) = sin 𝑡 − 𝑡 cos 𝑡 ^2
*Monday, April 18, 2016 by Desperate Student*

**Calculus**

Compute (f^-1) (2) if f(x) = 7x + 3cos(x) + 2sin(x).... We tried solving it in the form (f^-1)(a) = (1/f'(f^-1(a))... or is this a u-sub problem? We are trying to figure out whose way is right with one getting the answer as 1/2 and the other 1/10... we are getting mixed up...
*Monday, April 18, 2016 by Robin*

**calculus**

Find f'x given f(x)= 1/(1+(1/(1+(1/x))))
*Monday, April 18, 2016 by Jay*

**math calculus**

Find the intervals on which the function f(x)=x²/³(10-x) is increasing and decreasing. Sketch the graph of y=f(x)and identify any local maxima and minima. Any global extrema should also be identified.
*Monday, April 18, 2016 by Jay*

**Pre calculus**

1. Write in terms of cos and sin function. cotx*secx Show work.
*Monday, April 18, 2016 by Bimo*

**Pre calculus**

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by 2 cables.The distance...
*Monday, April 18, 2016 by Ram*

**calculus**

Between y = 2x2 + 9x − 4 and y = −x2 + 6x + 2 for x in [−2, 2]
*Monday, April 18, 2016 by Alex*

**Calculus**

Find the volume of the solid generated by rotating the region above 𝑦 = 12 and below 𝑦 = sin 𝑥 for 0≤𝑥≤𝜋 about the 𝑦-axis for 1 complete revolution.
*Monday, April 18, 2016 by Desperate Student*

**calculus help**

integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway
*Sunday, April 17, 2016 by newton*

**CALCULUS**

Sketch the graph of f(x)=1/(1+x^2)showing y-intercept, intervals where the graph increase / decrease, intervals where the graph is concave up/ down , inflexion point and stationary point
*Sunday, April 17, 2016 by BAGINILE*

**Calculus**

Find the volume of the solid generated by rotating the region bounded by 𝑦 = 𝑒2𝑥, 𝑥-axis, 𝑦-axis and 𝑥 = ln3 about (i) the 𝑥-axis for 1 complete revolution. (ii) the 𝑦-axis for 1 complete revolution. (iii) &#...
*Sunday, April 17, 2016 by Desperate Student*

**Calculus (Im I Doing This Right???? Im Unsure)**

From first principles (ie using the tangent slope method), find the slope of the following curves at the given value of x. f(x)=2x^2−6x at x = 3 f(x)=2x^2-6x f(x+h)= 2(x+h)^2-6(x+h) =2x^2+4xh+2h^2-6x-6h lim h-->0 f(x+h)-f(x)/h =2x^2+4xh+2h^2-6x-6h - (2x^2-6x) =4xh+2h^...
*Saturday, April 16, 2016 by Marc*

**Calculus (Im I Doing This Right???? Im Unsure)**

From first principles (ie using the tangent slope method), find the slope of the following curves at the given value of x. f(x)=2x^2−6x at x = 3 f(x)=2x^2-6x f(x+h)= 2(x+h)^2-6(x+h) =2x^2+4xh+2h^2-6x-6h lim h-->0 f(x+h)-f(x)/h =2x^2+4xh+2h^2-6x-6h - (2x^2-6x) =4xh+2h^...
*Friday, April 15, 2016 by Marc*

**Calculus **

From first principles (ie using the tangent slope method), find the slope of the following curves at the given value of x. f(x)=2x^2− 6x at x = 3
*Thursday, April 14, 2016 by Marc*

**Maths- Calculus **

The region R bounded by y=e^-x and y=0 and lying to the right x=0 is rotated about the y-axis
*Thursday, April 14, 2016 by Joan*

**Calculus **

Find the volume of the solid generated by rotating the region 0<y<5-x^2 about the x-axis
*Thursday, April 14, 2016 by Mary *

**calculus**

A 5.5 foot tall woman walks at 6ft/s torward a street light that is 16.5 ft above the ground. what is the rate of change of the length of her shadow when she is 14ft from the street light? At what rate is the tip of her shadow moving? How do I get the equation for this and how...
*Thursday, April 14, 2016 by Anon*

**Calculus 1**

Find the formula for a function of the form y=bxe^(-ax) with a local maximum at (4,12)...
*Wednesday, April 13, 2016 by Maria*

**Calculus I**

Find numbers a and b such that: lim (sqrt(ax+b)-9)/x =1 x->0
*Wednesday, April 13, 2016 by Hai*

**calculus 1**

(Thank you for any help because I am not good at setting up word problems) What are the dimensions that will minimize the amount of material needed to manufacture a standard oil drum that is in the shape of a cylinder, with closed top and bottom. The drum must have a volume of...
*Wednesday, April 13, 2016 by chase*

**calculus 1**

Mr. Smith would like to enclose a rectangular field that has an area of 1000 square feet. What is the minimum amount of fencing he will need if he only needs to use it on 3 sides since he can use the side of the barn for the fourth side.
*Wednesday, April 13, 2016 by chase*

**Pre calculus**

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by 2 cables.The distance...
*Wednesday, April 13, 2016 by Bimo*

**Calculus**

f(x) = 3cos(x)−cos^3(x) for 0 < x < 2π I need help finding where it increases and decreases and where it concaves up and down. The inflection points I have found are pi/2 and 3pi/2.
*Wednesday, April 13, 2016 by Anonymous*

**Calculus **

A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft. per second,how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 5ft from the wall?
*Wednesday, April 13, 2016 by Anonymous*

**Please HELP! Calculus (Implicit functions) **

Find the inverse of the function y = (square root x) + 4x , then solve for its 1st order derivative.
*Tuesday, April 12, 2016 by Wawen*

**Calculus Answer Confirming Not Sure Im Right Help?**

Evaluate the lim a. lim x--> 64 (cube root x-4/x-64) (∛x-4)/(x-64) -> 0/0 so then let cube root x = u u-4/u^3-64 u-4/u^3-64 = u-4/u-4(u^2+4u+16) the u-4 cancel each other out leaving lim x->64 = 1/u^2+4u+16 1/64^2+4(64)=16 oddly i find the number to large am i ...
*Tuesday, April 12, 2016 by Marc*

**Calculus Help Stuck Part 2?**

Evaluate the lim a. lim x--> 64 (cube root x-4/x-64)
*Tuesday, April 12, 2016 by Marc*

**Pre calculus**

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by 2 cables.The distance...
*Tuesday, April 12, 2016 by Bimo*

**Pre calculus**

In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by 2 cables.The distance from the base of the antenna to the down point DOWN hill is 95 feet. Ignore the amount of cable needed to ...
*Tuesday, April 12, 2016 by Bimo*

**Calculus I**

The volume of a sphere is changing at a rate of 8pi cm/sec. What is the rate of change of its surface area when the radius is 1? (the volume of a sphere is given by V=4/3pir^3 and its surface area, by A=4pi r ^2).
*Tuesday, April 12, 2016 by Brianna*

**Calculus Help Stuck Part 2?**

b.Determine the lim x-->4 (x^2+x-20/8-2x) What Im stuck on is this f(4)= 4^2+4-20 / 8-2(4) f(4)= 0/0 x^2+x-20/8-2x = (x-4)(x+5)/-2(x-4) What do I do next I'm so confused ik i would eliminate the x-4 from numerator and denominator but what would i do with the -2 that ...
*Monday, April 11, 2016 by Marc*

**Calculus**

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)
*Monday, April 11, 2016 by Marc*

**calculus**

Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.) A ball is thrown vertically upward from a height of 4 feet with an initial velocity of 79 feet per second. How high will the ball go? (Round your answer to two decimal places.)
*Monday, April 11, 2016 by Sam*

**Calculus**

f(x) = (x-4)/ (x^2) I need to use interval notation to indicate where f(x) is concave up or down. Concave up is (12, inf) but I can't figure out concave down. Help!
*Monday, April 11, 2016 by Anonymous*

**Calculus**

Find a cubic function f(x)=ax^3+cx^2+d that has a local maximum value of 9 at -4 and a local minimum value of 6 at 0. Find a, c, and d. I know that d = 6 but I am worked for hours trying to find a and c. Please help!!
*Monday, April 11, 2016 by Anonymous*

**calculus 2**

Use Euler's method with a step size of 0.2 to estimate y(1), where y(x) is the solution of the initial value problem y' = 6x+y^2, y(0)=0. Round your final answer to 4 places, but keep more places on the intermediate steps for accuracy.
*Monday, April 11, 2016 by TayB*

**Calculus derivatives**

Consider the equation x^2 + xy + y^2 = 1 Find all points where the tangent line is parallel to the line y = −x. Thank you for helping
*Sunday, April 10, 2016 by Jumpman*

**Calculus**

limit of (x*(y-1)^2*cosx)/(x^2+2(y-1)^2) as (x,y)->(0,1). By evaluating along different paths this limit often goes to 0. This does not necessarily imply that it exists. So how would i prove that it exists. Can someone please show me how i can prove using delta - epsilon ...
*Sunday, April 10, 2016 by Jim*

**Please Help ! Calculus**

Find two numbers whose sum is 42 and whose product will be at the largest possible.
*Sunday, April 10, 2016 by Wawen*

**Calculus**

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)
*Sunday, April 10, 2016 by Marc*

**Calculus**

Find the volume of the solid bounded below by the parabloid z = x^2 + y^2 and above by the plane 2x + z = 3
*Sunday, April 10, 2016 by Macy*

**Calculus**

An energy drink container in the shape of a right circular cylinder must have a volume of 12 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches). The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side. Find...
*Sunday, April 10, 2016 by Katie*

**Calculus (30min before deadline help pls )**

A street light is at the top of a 16 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 3 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 36 ft away from the ...
*Saturday, April 9, 2016 by Amelia*

**Calculus**

Find the largest volume V of the circular cone that can be inscribed in a sphere of radius = 10 cm
*Saturday, April 9, 2016 by Wawen*

**Calculus**

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $60/ft and on the other three sides by a metal fence costing $50/ft. If the area of the garden is 102 square feet, find the dimensions of the garden that minimize the cost.
*Saturday, April 9, 2016 by Sarah *

**Calculus**

Reverse the order of the double integral (y+1) dx dy, where -1<= y <= 4 and y - 4 <= x <= 4y-y^2
*Friday, April 8, 2016 by Marie*

**Calculus**

Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=π/2 about the line y=1.
*Friday, April 8, 2016 by Ayaka*

**Calculus**

Find a cubic function f(x)=ax^3+cx^2+d that has a local maximum value of 9 at -4 and a local minimum value of 6 at 0. Find a, c, and d.
*Thursday, April 7, 2016 by Anonymous*

**Calculus**

Suppose the derivative of a function f is f′(x)=(x−8)^7(x−1)^4(x+19)^8. Then the function f is increasing on the interval what?
*Thursday, April 7, 2016 by Anonymous*

**Calculus**

Consider the function f(x)=xsqrt(36−x^2), −1≤x≤6. This function has an absolute minimum value equal to what?
*Thursday, April 7, 2016 by Anonymous*

**calculus**

Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.) A ball is thrown vertically upward from a height of 4 feet with an initial velocity of 79 feet per second. How high will the ball go? (Round your answer to two decimal places.)
*Thursday, April 7, 2016 by Sam*

**calculus**

The maker of an automobile advertises that it takes 15 seconds to accelerate from 15 kilometers per hour to 70 kilometers per hour. Assuming constant acceleration, (a) The distance the car travels during the 15 seconds (Round your answer to two decimal places.)
*Thursday, April 7, 2016 by Sam*

**calculus**

Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.) A ball is thrown vertically upward from a height of 4 feet with an initial velocity of 79 feet per second. How high will the ball go? (Round your answer to two decimal places.)
*Thursday, April 7, 2016 by Sam*

**Calculus **

A festivals being planned. The planners need to enclose to adjacent 200 M^2 areas with fencing. They have budgeted $1000 for fencing. Fencing currently cost $10/meter. The diagram of the area is as follows: (The diagram is 2 adjacent squares, the areas of both squares are 200 ...
*Thursday, April 7, 2016 by Roygbiv*

**calculus**

Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the x-axis at a velocity of v(t) = 5/√t, t > 0. At time t = 1, its position is x...
*Thursday, April 7, 2016 by Sam*

**calculus**

Use a(t) = −9.8 meters per second per second as the acceleration due to gravity. (Neglect air resistance.) A canyon is 2300 meters deep at its deepest point. A rock is dropped from the rim above this point. Write the height of the rock as a function of time t in seconds...
*Thursday, April 7, 2016 by Sam*

**calculus**

Use a(t) = -9.8 meters per second per second as the acceleration due to gravity. (Neglect air resistance.) A baseball is thrown upward from a height of 3 meters with an initial velocity of 7 meters per second. Determine its maximum height. (Round your answer to two decimal ...
*Thursday, April 7, 2016 by Sam*

**calculus**

Find the particular solution that satisfies the differential equation and the initial condition. f ''(x) = x^2, f '(0) = 8, f(0) = 8 f (x) = ?
*Thursday, April 7, 2016 by Sam*

**Calculus**

A festivals being planned. The planners need to enclose to adjacent 200 M^2 areas with fencing. They have budgeted $1000 for fencing. Fencing currently cost $10/meter. The diagram of the area is as follows: 1. Write an equation representing the total length of fence, L, ...
*Wednesday, April 6, 2016 by Roygbiv*

**College Algebra/pre-calculus**

Find the domain (This in fraction form) f(x)=x+3 x^2-4 f(x)= (This is in Radical:2-5x) Any help, thank you!
*Wednesday, April 6, 2016 by Anonymous*

**calculus**

Find the length and width of a rectangle with maximum area that has a perimeter of (7P) units. units (smaller value) units (larger value)
*Wednesday, April 6, 2016 by Sam*

**calculus**

a mass m is projected vertically upward with an initial velocity u. the air resistance is given as kv^2. the mass returns to point of projection with velocity v0. prove terminal velocity is given by vT=uv0/sqrt(u^2-v0^2). Hint distances travelled upwards and downwards are same...
*Wednesday, April 6, 2016 by wes*

**Calculus **

Function is y=x2 . Take three points, x=2, x=3, x=4. Approximate this function at these three points for a deviation Δx =0.1. Which of the three points does the approximation works best? Which point does it works worst?
*Wednesday, April 6, 2016 by Jack*

**Calculus**

The number of Internet host computers (computers connected directly to the Internet, for networks, bulletin boards, or online services) has been growing at the rate of f(x) = xe^(0.1x) million per year, where x is the number of years since 1990. Find the total number of ...
*Tuesday, April 5, 2016 by Wade Wilson*

**calculus**

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) maximum (x, y) =
*Tuesday, April 5, 2016 by Sam*

**calculus**

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan θ = −square root of 3 answer in radian and please use the k integer
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x^2/3 − 2, [−8, 8] 1) Yes, Rolle's Theorem can be applied. 2)No, because f is not continuous on the closed interval [a, b]. 3)No, because f ...
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Use a graphing utility to graph the function and find the absolute extrema of the function on the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) f(x) = x^4 − 2x^3 + x + 1, [−1,3] minima (x, y) = (smaller x-...
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) maximum (x, y) = (b) [−5, 0) minimum...
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan θ = −square root of 3
*Tuesday, April 5, 2016 by Sagar*

**Calculus **

Linear Approximation Function is y=x2 . Take three points, x=2, x=3, x=4. Approximate this function at these three points for a deviation Δx =0.1. Which of the three points does the approximation works best? Which point does it works worst?
*Monday, April 4, 2016 by Fred*

**Maths - calculus**

equation for the hyperbola which has vertices (0;9) and asymptotes y= 18/5 x
*Sunday, April 3, 2016 by candice*

**Calculus**

how to make (x-3)^(2n)/4^(n) converge
*Saturday, April 2, 2016 by Matt*

**Calculus**

Find the exact value of cot(arcsin(12/13)) and cos(arcsin(1.7/2)) I know that cos(arcsin(x))=sin(arccos(x))=sqrt(1-x^2). I'm having more difficulty with the first one. Please help! Thank you
*Friday, April 1, 2016 by Emily*

**Brief Calculus**

Increasing and Decreasing Functions. Let f(x) = 4x^3 - 9x^2 -30x +6 A. Find all critical numbers of f(x) B. Give the open intervals where f (x) is increasing and decreasing and clearly label each.
*Friday, April 1, 2016 by Jeremy*

**Calculus**

How do I tell the difference between a non conic function and a conic function by looking at an equation?
*Thursday, March 31, 2016 by Emily*

**College Algebra/pre-calculus**

The Pointless Pencil Company purchases a new stamping machine for the production line that cost $8000. The equipment will be replaced in 10 years at which time its salvage value is expected to be $1000. Write a linear equation giving the value, y, of the machine during the ...
*Thursday, March 31, 2016 by Natalie*

**mathematics-calculus-derivatives**

. If y=cosx, find dy/d5x please show workings #thanks
*Wednesday, March 30, 2016 by P1*

**mathematics-calculus-derivatives**

. Try this. If y=cosx find dy/d5x please show workings #thanks
*Wednesday, March 30, 2016 by P1*

**Calculus**

How do you find the derivative of sqrt(x+sqrt(x+sqrt(x+.......)))?
*Tuesday, March 29, 2016 by Andre*

**Calculus**

Use the function f to solve the following: a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of upward concavity and downward concavity if any. Show work. c) Inflection points if any. Show work. f(x)=2x+1/x-2 Please, don't do steps for ...
*Tuesday, March 29, 2016 by Alice*

**Calculus**

find the area between x=tan^2y and x=-tan^2y in -pi/4<y<pi/4. I'm not sure how I can change the equations back to y=f(X) to graph. But it shouldn't really matter right? Do I do horizontal or vertical slicing? I feel like I should do horizontal since that's ...
*Monday, March 28, 2016 by Bethany*

**Calculus**

Determine whether the hypotheses of the Intermediate-Value Theorem are satisfied. f(x)=x^1/3 , [a,b]=[-1,1] Please, explain. Thank you.
*Monday, March 28, 2016 by Alice*

**Calculus Urgent**

graph y=cos(pi*x/2) and y=1-x^2 and use integration to find the area in between the curve. Okay, so when I graph these two I see that they like overlap during the [-1,1] x interval. But maybe there is still a small gap in between? But I'm not sure if the [-1,1] x interval ...
*Sunday, March 27, 2016 by Bethany*

**Calculus**

Let f(x) be defined by f(x) = x/(x - 4). What is the image of f?
*Sunday, March 27, 2016 by Dan*

**Calculus**

The function f(x) = x^3 + x an inverse. Compute f^-1(0) and f^-1(2). Hint: Do not try to evaluate f^-1 explicitly.
*Sunday, March 27, 2016 by Dan*

**Calculus**

An artifact was found with 63.8% of Carbon 14, how old is the mummy, assuming the half-life of Carbon 14 is 5730 years.
*Sunday, March 27, 2016 by Homework Help*

**calculus**

Find the absolute extrema of the function on the closed interval. y = 1 − |t − 1|, [−9, 6]
*Sunday, March 27, 2016 by Sagar*

**calculus**

Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 8 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 5 ...
*Sunday, March 27, 2016 by Sagar*

**Pre Calculus**

The revenue and cost equations for a product are R=x (50-0.002x) and C= 12x+ 150000. Where R and C are measured in dollars and x represents the number of units sold. How many units must be sold to get a profit of at least 1,650,000
*Saturday, March 26, 2016 by Destiney*

**Calculus**

A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks d miles apart, the concentration of the combined deposits on the line joining them, at a distance x from one stack, is given ...
*Saturday, March 26, 2016 by Leanna*

**Calculus **

Suppose you are in a room that is a*10 meters. You can walk normally along the "a" meter long wall at "s" meters per second and crab walk in any direction at 1 meter per second. You start at one corner of the room, walk normally along the wall of length &...
*Friday, March 25, 2016 by Sarah*

**Calculus**

Suppose x; y, and z are positive numbers that sum to 10. What is the largest possible value of xy + xz + yz? (a) First, suppose that z is a fixed parameter. Then we have to find nonnegative numbers x and y (depending on the fixed value z such that x+y = 10-z), such ...
*Friday, March 25, 2016 by Sarah*

**Calculus Applied Integrals**

A cylindrical tank of 22.1m high with radius 12.2m is filled to 10m high with water. How much work must be done to pump all the water out of the tank? (density of water is 1000\ kg/m^3) I used similar triangles somewhere in my calculations to find the answer, but I'm not ...
*Thursday, March 24, 2016 by Isabella*

**Calculus**

A fence must be built in a large field to enclose a rectangular area of 25,600m^2. One side of the area is bounded by n existing fence, so no fence is needed for that side. Materials for the fence cost $3 per meter for the two ends and $1.50 per meter for the side opposite of ...
*Thursday, March 24, 2016 by Dante*